Therefore, the events are pairwise disjoint, i.e., they are mutually exclusive. If a card is chosen in random from this set, find the possibility of choosing a yellow card or an ‘IMPORTANT’ card? [When we are adding at the place of OR] d. 3/7 1/4 2/7 1/5 Then, ∴ Required probability = P [( A and not I) or (I and not A)] What is the probability that Rashmi will win the match? 10/30 Two coins (a one rupee coin and a two rupee coin) are tossed once. Consider the experiment in which a coin is tossed repeatedly until a head comes up. Y = Event that Y speaks the truth b. a. d. 5/3 b. Solution: d. Let E be the event that the bulbs have life less than 800 hrs. As it will have 2 chances either a head or a tail. b. What is probability of drawing two hearts cards from a well shuffled pack of 52 cards? (iii) The frequency that tyre requires replacement between 4000 km and 14000 km = 210 + 325 = 535. c. 4/15 2/30 d. 55% 7. Probability Example 1. The probability of Sangeet winning the match is 0.62. b. a. The number of tests when students obtained more than 70% marks = 3. a. Solution: The total number of tests conducted is 5. The chapter Probability has been included in Class 9, 10, 11 and 12. 9. 1/8 Impossible event: The probability of an occurrence/event impossible to happen is 0. Solution: c, Total names in the lucky draw= 4×200+3×250+2×100, 17. Find the probability that both apples will show odd numbers. 1/7 What is the probability of the occurrence of a number that is odd or less than 5 when a fair die is rolled. Head on 1st coin and Tail on the 2nd coin = (H,T) = HT, Tail on 1st coin and Head on the 2nd coin = (T,H) = TH, Therefore, the sample space is S = {HH, HT, TH, TT}. Solution. Also, solving these probability problems will help them to participate in competitive exams, going further. What is the probability of it being a white shirt? If A and B represents the events, we have : The complement of an event A is denoted as A’ and is written as P (A’) = 1 – P (A). a. c. 50% The theoretical probability of an event E, P(E), is defined as: P(E) = (Number of outcomes favourable to E)/(Number of all possible outcomes of the experiment). In a certain state’s lottery, 48 balls numbered 1 through 48 are placed in a machine and six of them … 45% 5/7 21. The probability of Sangeet to win = P(S) = 0.62, The probability of Rashmi to win = P(R) = 1 – P(S). b. c. 1/12 c. 5/18 Explanation: Let A, B, C be the respective events of solving the problem and A , B, C be the respective events of not solving the problem. Check whether they form a set of mutually exclusive and exhaustive events. These are called face cards. For example, when a test is conducted, then the student can either get a pass or fail. a. Let E = event of getting a multiple of 2 or 5 d. 4/2 Now a shirt is picked from second basket. What is the probability that a Year-III’s name will be selected? a. = {2, 4 ,5,6,8,10, 12,14, 15,16, 18, 20}, 2. P(Y) = 90/100= 9/10 Assuming C to be the event in which both are selected. What is the probability that the ticket taken is a multiple of 2 or 5? … c. 1/4 P(X-lie) = 1−4/5 = 1/5 If a pen is drawn at random from the pack, replaced and the process is repeated 2 more times, what is the probability of drawing 2 blue pens and 1 black pen? d. 5/20 With Example, Session And Presentation Layer Protocol Tutorial With Example, Section A – This section contains important formulas, short tricks, concepts on Probability. Solution: a, When counting from 1 to 100, we have 1, 8, 27 and 64 as perfect cubes, So, the probability of getting a perfect cube is, 12. There are 200 Year-III, 250 Year-II and 100 Year-I students who applied. 19.If a is chosen at random from the set {1,2,3,4} and b is to be chosen at random from the set {5,6,7}, what is the probability that ab will be odd? Each Year-III’s name is placed in the lucky draw 4 times; each Year-II’s name 3 times and Year-I’s name, 2 times. The card is drawn at random. Clearly, there are 52 cards, out of which there are 16 face cards. Sample Probability questions with solutions. I = event that the friend is selected. d. 5/4, Probability = [ Favourable outcomes]/ Total, 8. In a set of 20 game cards, 15 are black and rest are yellow. What is the probability of getting two numbers whose product is odd if we throw a dice two times simultaneously? Solution: c, The Probability of chances of getting a head when a single coin is tossed =1/2, Probability of getting 5 when a dice is thrown=1/6, 18.A card is taken from a pack of 52 cards. We need to find P(A or B). d. 13/18 6. If a tyre is bought from this company, what is the probability that : (i) it has to be substituted before 4000 km is covered? Probability of drawing 2 blue pens and 1 black pen = 3/9 * 3/9 * 5/9 = 45/729 = 5/81, 1. Refer to the above table and answer the question: 10. Probability of drawing another blue pen = 3/9 Outcomes: A possible result of a random experiment. Therefore, it is a very important chapter.

Media Studies Websites, Kg Beech Street Mattress, Thyme Seasoning For Chicken, Alberto's Menu San Bernardino, Johnsonville Smoked Sausage In Air Fryer, Organic Matcha Powder, Mocha Mousse Cake Filling Recipe, How To Make Waffles Without A Waffle Maker, Bba In Event Management Mumbai,